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In P-persistent CSMA network there are 5 systems in a slot. The probability of station not transmitting the data is 0.6. Only two stations should transmit the data to avoid collision. What is the probability that channel is collision free?

I solved this as P (no collision) = either 2 stations are transmitting or 1 station or none.

edited | 1.2k views

Favorable case here is no station is transmitting, exactly one is transmitting or exactly 2 is transmitting.

$P = {}^5C_0 \times {0.6}^5 + {}^5C_1 \times {0.6}^4{0.4} + {}^5C_2 \times {0.6}^3{0.4}^2 \\= 0.68256.$
by Veteran (431k points)
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Is this ans correct or 0.365 if we will take on 5C2 case???

Can u clarify?

In question ask only two stations transmit. So, we consider two stations only.

probability =5C2(0.42)(0.63)=0.3456

by (91 points)
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but of only one statuon transmit then also it will be collisoin free. why we are not considering that case?

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